Solutions to the Practice Integral Problems

    Solutions to the Practice Integral Problems

    1. ex(cos(x)+sin(x))/2 + C
    2. (x-cos(x)sin(x))/2 + C
    3. —1/(2(1+2x)) + C
    4. —ln(cos(x)) + C
    5. —ln(4+cos(2x))/2 + C
    6. xtan(x)+ln(cos(x)) + C
    7. 2(x-2)7/2/7+8(x-2)5/2/5+8(x-2)3/2/3 + C
    8. - ln(cos(arcsin(x))) + C= - ln(sqrt(1-x2)) + C = = -(1/2)[ln(1-x)+ln(1+x)] + C
    9. (7e8+1)/4
    10. 856(107)1/2/9 — 8(3)1/2/3
    11. —2(ln(x)+2)/sqrt(x) + C
    12. 8ln(1+sqrt(3))-8ln(2)
    13. xarctan(x)-ln(1+x2)/2 + C
    14. xln(1+x2)-2x+2arctan(x)+C